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Finding the Third Proportional to 19,000 and 27,801

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Solution

The third proportional to 19,000 and 27,801 is: 40,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000 : 27,801 = 27,801 : x
  2. Step 2: Convert to fraction form
    19,000/27,801 = 27,801/x
  3. Step 3: Cross multiply
    19,000x = 27,801 × 27,801
  4. Step 4: Simplify right side
    19,000x = 772,895,601
  5. Step 5: Solve for x
    x = 772,895,601/19,000
  6. Step 6: Final answer
    x = 40,678.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.